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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 568 · 40 questions
TalentJR

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

NameDateTime takenScore ___ / 40
  1. 1.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  2. 2.Which of these numbers is divisible by 11? (a) 5845 (b) 5852 (c) 5871 (d) 5860
  3. 3.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
  4. 4.₹5500 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹5720 (b) ₹660 (c) ₹6380 (d) ₹6160
  5. 5.What is the value of the digit 6 in 23.687? (a) 0.6 (b) 6 (c) 0.006 (d) 0.06
  6. 6.If 2x + 9 = 33, what is x? (a) 13 (b) 21 (c) 24 (d) 12
  7. 7.2.06 + 4.8 = ? (a) 6.96 (b) 2.54 (c) 6.86 (d) 6.76
  8. 8.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 68 sq cm (c) 51 sq cm (d) 20 sq cm
  9. 9.Every pair follows the same rule: 3 : 5, 5 : 9, 9 : 17. What is 7 : ? (a) 9 (b) 14 (c) 12 (d) 13
  10. 10.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 80 (c) 27 (d) 56
  11. 11.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 39 cm (d) 29 cm
  12. 12.If 6 January is a Thursday, what day of the week is 18 January? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
  13. 13.5.75 + 4.7 = ? (a) 10.55 (b) 6.22 (c) 10.35 (d) 10.45
  14. 14.₹10000 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹11600 (b) ₹10800 (c) ₹1600 (d) ₹12400
  15. 15.₹126 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹63 (b) ₹14 (c) ₹70 (d) ₹56
  16. 16.The simple interest on ₹2000 for 3 years is ₹720. What is the rate per year? (a) 11% (b) 36% (c) 12% (d) 13%
  17. 17.Which is the greatest: 0.644, 0.028, 0.7, 0.73? (a) 0.644 (b) 0.028 (c) 0.7 (d) 0.73
  18. 18.What is the remainder when 78 is divided by 7? (a) 0 (b) 1 (c) 2 (d) 6
  19. 19.What is the value of the digit 5 in 58.392? (a) 50 (b) 0.5 (c) 0.05 (d) 5
  20. 20.Which fraction is greater: 6/7 or 2/5? (a) 2/5 (b) They are equal (c) 6/7
  21. 21.If 21 September is a Thursday, what day of the week is 8 October? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  22. 22.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 72 sq cm (c) 90 sq cm (d) 44 sq cm
  23. 23.If 6 March is a Thursday, what day of the week is 16 March? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
  24. 24.What is 3/4 of 48? (a) 37 (b) 48 (c) 36 (d) 12
  25. 25.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 27 (b) 42 (c) 126 (d) 84
  26. 26.What is 20% of 820? (a) 164 (b) 656 (c) 1640 (d) 328
  27. 27.4 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 12 days (b) 16 days (c) 14 days (d) 13 days
  28. 28.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 153 sq cm (c) 50 sq cm (d) 136 sq cm
  29. 29.In how many years will ₹10000 earn ₹1800 simple interest at 9% per year? (a) 3 years (b) 4 years (c) 2 years (d) 1 year
  30. 30.₹520 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹260 (b) ₹160 (c) ₹360 (d) ₹40
  31. 31.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 36 (b) 31 (c) 20 (d) 46
  32. 32.8 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 12 days (b) 18 days (c) 25 days (d) 24 days
  33. 33.What is the remainder when 246 is divided by 7? (a) 1 (b) 2 (c) 6 (d) 0
  34. 34.Every pair follows the same rule: 6 : 39, 7 : 52, 8 : 67. What is 9 : ? (a) 84 (b) 82 (c) 85 (d) 42
  35. 35.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 44 (b) 39 (c) 54 (d) 20
  36. 36.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 8 cm (c) 14 cm (d) 7 cm
  37. 37.If 24 May is a Sunday, what day of the week is 19 June? (a) Saturday (b) Friday (c) Sunday (d) Thursday
  38. 38.The simple interest on ₹1000 for 2 years is ₹40. What is the rate per year? (a) 3% (b) 2% (c) 1% (d) 4%
  39. 39.What is the average of all the whole numbers from 49 to 69? (a) 60 (b) 10 (c) 20 (d) 59
  40. 40.₹117 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹39 (b) ₹117 (c) ₹78 (d) ₹79

Answer key

  1. 81 sq cm
  2. 5852
  3. 144 sq cm
  4. ₹6160
  5. 0.6
  6. 12
  7. 6.86
  8. 51 sq cm
  9. 13
  10. 80
  11. 32 cm
  12. Tuesday
  13. 10.45
  14. ₹11600
  15. ₹70
  16. 12%
  17. 0.73
  18. 1
  19. 50
  20. 6/7
  21. Sunday
  22. 72 sq cm
  23. Sunday
  24. 36
  25. 42
  26. 164
  27. 12 days
  28. 136 sq cm
  29. 2 years
  30. ₹360
  31. 46
  32. 24 days
  33. 1
  34. 84
  35. 54
  36. 7 cm
  37. Friday
  38. 2%
  39. 59
  40. ₹78

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